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author = "Cox, David A. and Little, John and  O'Shea, Donal",
title = "Ideals, Varieties, and Algorithms: An Introduction to Computational Algebraic Geometry and Commutative Algebra",
edition = "3rd",
year = "2007",
publisher = "Springer",
}


@article{multifrac,
  author = "Thomas C. Halsey and Mogens H. Jensen and Leo P. Kadanoff and Itamar Procaccia and Boris I. Shraiman",
  title = "Fractal measures and their singularities; The characterization of strange sets",
  journal = {{Phys}ical {Rev}iew {A}},
  year = {1986},
  volume = {33},
  pages = {1141--1150},
  number = {2},
  month = {feb},
  comment = {Paper defining multifractal spectrum}
}

@article{infodim,
	author="J. Doyne Farmer",
	title="Information Dimension and the Probabilistic Structure of Chaos",
	journal={Zeitschrift f\"{u}r Naturforschung. Teil B, Anorganische Chemie, organische Chemie},
	volume="3A",
	year={1982},
	pages={1304--1325},
	reprintjournal="Dynamical Systems Collective",
	reprintpublisher="Physics Department",
	reprintaddress="UC Santa Cruz, Santa Cruz, California",
}

@article{corrdim,
  author = "Peter Grassberger and Itamar Procaccia",
  title = {Characterization of Strange Attractors},
  journal = {Physical Review Letters},
  year = {1983},
  volume = {50},
  pages = {448--451},
  number = {5},
  month = {January},
  comment = {Paper defining Correlation Dimension}
}

@ARTICLE{ebadiss,
  author = "Rolf Reidi",
  title = {An Improved Multifractal Formalism and Self-Similar Measures},
  journal = {Journal of Math Analysis and Applications},
  year = {1995},
  volume = {189},
  pages = {462--490},
  comment = {dissertation describing eba},
}

@ARTICLE{ebalett,
  author = "Romualdo Pastor-Sattoras and Rudolf H. Reidi",
  title = {{N}umerical estimates of the generalized dimensions of the {H}\'enon attractor for negative $q$},
  journal = {{J}ournal of {Phys}ics {A}},
  year = {1996},
  volume = {2},
  pages = {L391--L398},
  comment = {dissertation describing eba},
}

@book{bezout,
author = "\'Etienne B\'ezout",
title = {Th\'eorie G\'enerale des \'Equations Alg\'ebriques; A study in HEY I CHANGED THE BIBLIOGRAPHY},
year = {1779},
publisher = {Imprimerie de P.-D. Pierres},
address = "Paris",
}

@article{robot_homotopy,
	author="Eric Lee and Constantinos Mavroidis",
	title="Solving the Geometric Design Problem of Spatial {3R} Robot Manipulators Using Polynomial Homotopy Continuation",
	journal="J. Mech. Des.",
	volume="124",
	month=Dec,
	year={2002},
	pages={653--661}
}

@article{Varedi20091767,
	title = "Kinematics of an offset {3-UPU} translational parallel manipulator by the homotopy continuation method",
	journal = "Nonlinear Anal.-Real.",
	volume = "10",
	number = "3",
	pages = "1767 - 1774",
	year = "2009",
	note = "",
	issn = "1468-1218",
	doi = "10.1016/j.nonrwa.2008.02.014",
	url = "http://www.sciencedirect.com/science/article/pii/S1468121808000576",
	author = "S.M. Varedi and H.M. Daniali and D.D. Ganji"
}


SIAM Journal on Numerical Analysis
@article{Yorke1989,
     jstor_articletype = {research-article},
     title = {The Cheater's Homotopy: An Efficient Procedure for Solving Systems of Polynomial Equations},
     author = {Li, T. Y. and Sauer, Tim and Yorke, J. A.},
     journal = {SIAM J. Numer. Anal.},
     jstor_issuetitle = {},
     volume = {26},
     number = {5},
     jstor_formatteddate = {Oct., 1989},
     pages = {pp. 1241-1251},
     url = {http://www.jstor.org/stable/2157926},
     ISSN = {00361429},
     abstract = {A procedure is introduced for solving systems of polynomial equations that need to be solved repetitively with varying coefficients. The procedure is based on the cheater's homotopy, a continuation method that follows paths to all solutions. All solutions are found with an amount of computational work roughly proportional to the actual number of solutions. Previous general methods normally require an amount of computation roughly proportional to the total degree.},
     language = {English},
     year = {1989},
     publisher = {Society for Industrial and Applied Mathematics},
     copyright = {Copyright � 1989 Society for Industrial and Applied Mathematics},
}
